In this paper,the(0.1)-form heat kernel of a complex projective space of dimensions n is constructed cxplicitely.As an application of the(0.1)-form heat kernel,the(0.1)type Green Form of CP~
The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact ...The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact support and ?g = 0, the functionis a solution of the ?-equation ?v = g such that v vanishes on the boundary ?B^n of B^n.展开更多
基金This subject supported by NSF of ChinaThis subject supported by the Henan Fundations of Scientific Committee.
文摘In this paper,the(0.1)-form heat kernel of a complex projective space of dimensions n is constructed cxplicitely.As an application of the(0.1)-form heat kernel,the(0.1)type Green Form of CP~
文摘The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact support and ?g = 0, the functionis a solution of the ?-equation ?v = g such that v vanishes on the boundary ?B^n of B^n.
